Results 11 to 20 of about 35,394 (206)
Some Identities of Degenerate Bell Polynomials
Mathematics, 2020 The new type degenerate of Bell polynomials and numbers were recently introduced, which are a degenerate version of Bell polynomials and numbers and are different from the previously introduced partially degenerate Bell polynomials and numbers.
Taekyun Kim +3 more
doaj +3 more sources
Bell-Based Bernoulli Polynomials with Applications
Axioms, 2021 In this paper, we consider Bell-based Stirling polynomials of the second kind and derive some useful relations and properties including some summation formulas related to the Bell polynomials and Stirling numbers of the second kind.
Ugur Duran, Serkan Araci, Mehmet Acikgoz
doaj +3 more sources
A Note on Some Identities of New Type Degenerate Bell Polynomials
Mathematics, 2019 Recently, the partially degenerate Bell polynomials and numbers, which are a degenerate version of Bell polynomials and numbers, were introduced.
Taekyun Kim +3 more
doaj +3 more sources
An extension of the bell polynomials
Computers & Mathematics with Applications, 2004 The authors introduce an extension of Bell polynomials, also called ``partition polynomials''. For a given integer \(M\) they define a generalized Bell polynomial \(Y_n^{[M-1]}\) as representing the \(n\)th derivative of the composite function \(\Phi(t) := f_{(1)}(f_{(2)}(\cdots(f_{(M)}(t))))\), where the functions \(f_{(M)}\), \dots, \(f_{(2)}\), \(f_{
NATALINI P., RICCI, Paolo Emilio
openaire +6 more sources
General identities on Bell polynomials
Computers & Mathematics with Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Weiping, Wang, Tianming
openaire +3 more sources
Multidimensional bell polynomials of higher order
Computers & Mathematics with Applications, 2005 The aim of the paper is to introduce a new generalization of Bell polynomials, called multidimensional Bell polynomials of higher order. Similarly to the classical Bell polynomials, which are a tool for representing the derivatives of a composite function of one variable, these new polynomials can be used for representing the derivatives of a composite
BERNARDINI A. +2 more
openaire +5 more sources
Some identities on truncated polynomials associated with Lah-Bell polynomials
Applied Mathematics in Science and Engineering, 2023 Recently, Kim-Kim introduced the truncated degenerate Bell polynomials and numbers. In this paper, we introduce the truncated Lah-Bell polynomials and numbers. We obtain some identities, recurrence relations and properties. Furthermore, we also introduce
Lingling Luo +3 more
doaj +1 more source
Degenerate Poly-Lah-Bell Polynomials and Numbers
Journal of Mathematics, 2022 Many mathematicians studied “poly” as a generalization of the well-known special polynomials such as Bernoulli polynomials, Euler polynomials, Cauchy polynomials, and Genocchi polynomials. In this paper, we define the degenerate poly-Lah-Bell polynomials
Taekyun Kim, Hye Kyung Kim
doaj +1 more source
Some new formulas of complete and incomplete degenerate Bell polynomials
Advances in Difference Equations, 2021 The aim of this paper is to study the complete and incomplete degenerate Bell polynomials, which are degenerate versions of the complete and incomplete Bell polynomials, and to derive some properties and identities for those polynomials.
Dae San Kim +3 more
doaj +1 more source
Fully degenerate Bell polynomials associated with degenerate Poisson random variables
Open Mathematics, 2021 Many mathematicians have studied degenerate versions of quite a few special polynomials and numbers since Carlitz’s work (Utilitas Math. 15 (1979), 51–88). Recently, Kim et al.
Kim Hye Kyung
doaj +1 more source